... face of talking speaker.
The feature used is the histogram of the hue plane of the
face pixels. The face of the speaker is first extracted from
thevideo.Thehueplaneofthefaceregionofeachframe
is then ... decision. The values
of the log likelihood obtained from the recognizer is small.
For audio it is of the order of
−300 to −200, whereas
for video is of the...
... whether the result of Theorem D about
the case α γ holds for ρ
∗
-mixing sequence.
2 Journal of Inequalities and Applications
The notion of ρ
∗
-mixing seems to be similar to the notion of ... Erd
¨
os 13 proved the case r 2andp 1 of the above
theorem. The case r 1andp 1 of the above theorem was proved by Spitzer 14.Anand
Yuan 9 studied the weight...
... “On the stability of the linear functional equation,” Proceedings of the National Academy of
Sciences of the United States of America, vol. 27, pp. 222–224, 1941.
3 Th. M. Rassias, “On the ... Cholewa 6 noticed that the theorem of Skof is still true
if the relevant domain X is replaced by an abelian group. Indeed, Czerwik in 7 proved
the Cauchy-Rassias stabil...
... we mean the quantitative analysis,
that is, the study of derivatives of the perturbation function. On the other hand, by stability
we mean the qualitative analysis, that is, the study of various ... D
2
W
x
0
,y
0
,u,v
x
.
4.26
Then, the conclusion is obtained and the proof is complete.
Remark 4.8. If the C-domination property of Px is not satisfied in T...
... and t ∈
k
, then the delta derivative of f at the point
t is defined to be the number f
Δ
tprovided it exists with the property that, for each ε>0,
there is a neighborhood U of t such that
f
σ
t
− ... an active
area of research. We refer the reader to 1–5 and the references therein for introduction
on this theory. In recent years, there has been much...
... |z|≤1}
denote the fields of complex, real numbers, the set of natural numbers, the unit circle, the
open unit disc, and the closed unit disc, respectively. The symbol F denotes a field that can
be either ... fixed-point property without satisfying any of the
conditions of Theorem 1.2.
Example 3.8. Let X be the closed unit interval 0, 1 with the standard topology and...
... that the set of solutions of SGSVQEP is closed.
Let {x
α
,u
α
: α ∈ I} be a net in the set of solutions of SGSVQEP such that x
α
,u
α
→
x
∗
,u
∗
. By definition of the set of solutions of ... to the set of solutions of SGSVQEP. Hence the set of solutions
of SGSVQEP is closed set. This completes the proof.
If we take S S
1
S
2
, F F
1
F
2
,andT...
... 2
.
3.5
4. Proof of Theorem 2.1
Let A, B and C be as in the hypotheses. We can assume that α 1. Suppose that f is a solution
of 2.1 having zeros with finite exponent of convergence. Then we can ... pages
doi:10.1155/2010/428936
Research Article
On the Exponent of Convergence for the Zeros of
the Solutions of y
Ay
By 0
Abdullah Alotaibi
Department of...
... from the central axis of
the loudspeaker system.
Regarding the directivity index, given in Figure 10,we
see an improvement in the behavior of the radiated sound
power after the weighting of the ... f
W
f
−
g
n
f
A
H
axis
f
W
f
2
.
(6)
The control of the radiation pattern in various directions
requires the choice of fixed gains...
... 7
the particle set indicates the degree of fitting of the
importance density through the number of effective sam-
ples N
eff
(see (20)), the frequency of particle resampling
is an indicator of the ... at the center of the highways, a shift in the
position has no effect on the performance, be it only for
the earlier detection of vehicles and the length of t...